One Friday night, a group of friends bought 5 containers of popcorn and 4 granola bars at the movie theatre for 42 point 5 0 dollars The next week, the same group of friends bought 3 containers of popcorn and 6 granola bars for 34 point 5 0 dollars Let p represent the cost of one container of popcorn. Let g represent the cost of one granola bar. Which system of equations will solve for p and g ?
Answer
A
5 p plus 4 g is equal to 34 point 5 0 3 p plus 6 g is equal to 42 point 5 0
B
4 p plus 5 g is equal to 42 point 5 0 6 p plus 3 g is equal to 34 point 5 0
C
5 p plus 4 g is equal to 42 point 5 0 3 p plus 6 g is equal to 34 point 5 0
D
4 p plus 5 g is equal to 34 point 5 0 3 p plus 6 g is equal to 42 point 5 0
Explanation
For the first purchase, 5 containers of popcorn at p dollars each and 4 granola bars at g dollars each cost $42.50, so 5p + 4g = 42.50. For the next purchase, 3 containers and 6 granola bars cost $34.50, so 3p + 6g = 34.50. These equations are listed in choice C.
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